Answer:
x^2+11x+10
or
(x+1)(x+10) since you can factor x^2+11x+10
Step-by-step explanation:
Let's do synthetic division.
We are dividing by x+2, so -2 will be on the outside. Like this:
-2 | 1 13 32 20
| -2 -22 -20
|___________________________
1 11 10 0
The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.
The other factor we found by doing this is (x^2+11x+10).
You can find more factors by factoring x^2+11x+10.
Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).
Answer:
18.85 cm²
Step-by-step explanation:
The formula to find the area of a sector = θ/360 × πr²
We are given:
θ = Angle of the sector = 135°
Radius = Diameter/2
Diameter = 8cm , Hence Radius = 8cm/2 = 4cm
Hence,
Area of a sector = 135/360 × π ×(4cm)²
= 18.849555922 cm²
Approximately to the nearest hundredth = 18.85 cm²
Therefore, the area of the sector is 18.85 cm²
We know that
in a right triangle
Applying the Pythagoras Theorem
c²=a²+b²
in this problem
c=√87 yd
a=√23 yd
b=?
so
b²=c²-a²-----> b²=(√87)²-(√23)²----> b²=87-23----> b²=64----> b=8 yd
the answer is
8 yd
It is 300 miles per second
Answer:
Since -14 is added in each term
Therefore,in 68 th term will be 68×-14 +(-19)
As the 1 st term is -19
68 th term= -952+(-19)
68 th term= -971
